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383141724138 = 232191207192809
BaseRepresentation
bin1011001001101010000…
…01101011111111101010
31100121221210202020001100
411210311001223333222
522234133240133023
6452002440502230
736452415630465
oct5446501537752
91317853666040
10383141724138
11138542573208
126230947a976
132a18cb09c94
14147892562dc
159e768b8c43
hex593506bfea

383141724138 has 48 divisors (see below), whose sum is σ = 873913809600. Its totient is φ = 120980796480.

The previous prime is 383141724127. The next prime is 383141724149. The reversal of 383141724138 is 831427141383.

383141724138 is a `hidden beast` number, since 3 + 83 + 1 + 417 + 24 + 138 = 666.

It is an interprime number because it is at equal distance from previous prime (383141724127) and next prime (383141724149).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 383141724093 and 383141724102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4081878 + ... + 4174686.

It is an arithmetic number, because the mean of its divisors is an integer number (18206537700).

Almost surely, 2383141724138 is an apocalyptic number.

383141724138 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

383141724138 is an abundant number, since it is smaller than the sum of its proper divisors (490772085462).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

383141724138 is a wasteful number, since it uses less digits than its factorization.

383141724138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104907 (or 104904 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 383141724138 in words is "three hundred eighty-three billion, one hundred forty-one million, seven hundred twenty-four thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 12071 24142 36213 72426 92809 108639 185618 217278 229349 278427 458698 556854 688047 835281 1376094 1670562 1763371 2064141 3526742 4128282 5290113 10580226 15870339 31740678 1120297439 2240594878 3360892317 6721784634 10082676951 20165353902 21285651341 42571302682 63856954023 127713908046 191570862069 383141724138